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Finding the Fourth Proportional to 102,215.52, 141,056.34 and 56,892.78

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Solution

The fourth proportional to 102,215.52, 141,056.34 and 56,892.78 is: 78,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,215.52 : 141,056.34 = 56,892.78 : x
  2. Step 2: Convert to fraction form
    102,215.52/141,056.34 = 56,892.78/x
  3. Step 3: Cross multiply
    102,215.52x = 141,056.34 × 56,892.78
  4. Step 4: Simplify right side
    102,215.52x = 8,025,087,319.23
  5. Step 5: Solve for x
    x = 8,025,087,319.23/102,215.52
  6. Step 6: Final answer
    x = 78,511.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.